Answer:
Options D & E are independent
Step-by-step explanation:
For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0
A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.
B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.
C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.
D) A ∩ B = 0. They are mutually exclusive and thus they are independent.
E) A ∩ B = 0. They are mutually exclusive and thus they are independent.
Check the picture below.
we could also look at it from the inscribed angle theorem, bearing in mind that the intercepted arc is 180°.
Answer: (a)350 + 0.05x ≥ 600 (b) $5000
Explanation:
Fixed Salary = $350
Variable = 5% on sales
Let x the sales amount
Equation: 350 + 0.05x ≥ 600
350 + 0.05x ≥ 600
0.05x ≥ 600 - 350
0.05x ≥ 250
x ≥ $5000
V=108 because 4 ÷ 16 = 4 then you have v ÷ 27 = 4 and 27 times for is 108
the volume of the cylinder is d)168 units
